[1] |
Bangert, V.: Riemannsche Mannigfaltigkeiten mit nicht-konstanter konvexer Funktionen. Archiv der Math.31, 163-170 (1978) · Zbl 0372.53021 · doi:10.1007/BF01226433 |
[2] |
Bangert, V.: Totally convex sets in complete Riemannian manifolds, Preprint · Zbl 0479.53032 |
[3] |
Bishop, R., O’Neill, B.: Manifolds of negative curvature. Trans. Amer. Math. Soc.145, 1-49 (1969) · Zbl 0191.52002 · doi:10.1090/S0002-9947-1969-0251664-4 |
[4] |
Busemann, H.: The geometry of geodesics. New York: Academic Press, 1955 · Zbl 0112.37002 |
[5] |
Cheeger, J., Gromoll, D.: On the structure of complete manifods on nonnegative curvature. Ann. of Math.96, 413-443 (1972) · Zbl 0246.53049 · doi:10.2307/1970819 |
[6] |
Cheeger, J., Gromoll, D.: The splitting theorem for manifolds of nonnegative Ricci curvature. J. Diff. Geometry6, 119-128 (1971) · Zbl 0223.53033 |
[7] |
Greene, R.E., Shiohama, K.: Riemannian manifolds having a nowhere constant convex function. Notices Amer. Math. Soc. Vol.26, No. 2 a-223 (1979) |
[8] |
Greene, R.E., Shiohama, K.: Convex functions on complete noncompact manifolds: Differentiable structure, to appear · Zbl 0488.57012 |
[9] |
Greene, R.E., Wu, H.: On the subharmonicity and plurisubharmonicity of geodesically convex functions. Indiana Univ. Math. J.22, 641-653 (1973) · Zbl 0235.53039 · doi:10.1512/iumj.1973.22.22052 |
[10] |
Greene, R.E., Wu, H.: Integrals of subharmonic functions on manifolds of nonnegative curvature. Inventiones math27, 265-298 (1974) · Zbl 0342.31003 · doi:10.1007/BF01425500 |
[11] |
Greene, R.E., Wu, H.:C ? convex functions and manifolds of positive curvature. Acta Math.137, 209-245 (1976) · Zbl 0372.53019 · doi:10.1007/BF02392418 |
[12] |
Greene, R.E., Wu, H.:C ? approximation of convex, subharmonic, and plurisubharmonic functions. Ann. scient. Ec. Norm. Sup. 4e serie t.12, 47-84 (1979) |
[13] |
Gromoll, D., Meyer, W.: On complete open manifolds of positive curvature. Ann. of Math.90, 75-90 (1969) · Zbl 0191.19904 · doi:10.2307/1970682 |
[14] |
Kobayashi, S., Nomizu, K.: Foundations of differential geometry, II. New York: Wiley-Interscience, 1969 · Zbl 0175.48504 |
[15] |
Narasimhan, R.: Analysis on real and complex manifolds. Amsterdam: North-Holland, 1968 · Zbl 0188.25803 |
[16] |
Poor, W.A.: Some results on nonegatively curved manifolds. J. Diff. Geometry9, 583-600 (1974) · Zbl 0292.53037 |
[17] |
Walter, R.: A generalized Allendoerfer-Weil formula and an inequality of the Cohn-Vossen type. J. Diff. Geometry10, 167-180 (1975) · Zbl 0308.53042 |
[18] |
Walter, R.: On the metric projection onto convex sets in Riemannian spaces. Archiv d. Math.25, 91-98 (1974) · Zbl 0311.53054 · doi:10.1007/BF01238646 |
[19] |
Whitehead, J.H.C.: Convex regions in the geometry of paths. Quartery J. Math.2(3), 33-42 · Zbl 0004.13102 |
[20] |
Yau, S.T.: Nonexistence of continuous convex functions on certain Riemannian manifolds. Math. Ann.207, 269-270 (1974) · doi:10.1007/BF01351342 |